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" Both terms of a fraction may be divided by the same number without changing the value of the fraction. "
For advanced grades - Page 43
by Gordon Augustus Southworth, John Charles Stone - 1904
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Elements of Arithmetic

Etienne Bézout - Mathematics - 1824 - 238 pages
...third term may be put in place of the second, nnd reciprocally, it is inferred that the two antecedents may be multiplied or divided by the same number without changing the proportion ; and also the two consequents. For in making this change, the two antecedents of the given...
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An Elementary Treatise on Algebra: To which are Added Exponential Equations ...

Benjamin Peirce - Algebra - 1837 - 300 pages
...Ans. — a* — (2J2 — c2)a2 4. Divide y3 — y — 6* — 62c2. by y — 3 — y3 • Arts. y2 A Terms of a fraction may be multiplied or divided by the same quantity. CHAPTER II. Fractions and Proportions. SECTION I. Reduction of Fractions. 39. When a quotient...
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An Elementary Treatise on Algebra: To which are Added Exponential Equations ...

Benjamin Peirce - Algebra - 1837 - 302 pages
...2J4C2_|_J2C4) by a2— &2— c2. ^lns. _a* — (262 — c2)a2 4. Divide y3 — y '•— 3y — 3 —y Terms of a fraction may be multiplied or divided by the same quantity. CHAPTER II. Fractions and Proportions. SECTION J. Reduction of Fractions. 39. Wherr a quotient...
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Arithmology; or, Theory of common arithmetic, fully proved without algebra

Solomon Edward CASPERSONN - Arithmetic - 1844 - 74 pages
...the product of the second into the third divided by the first, and numerator and denominator can be divided by the same number without changing the value of the fraction, the first member and the product of the second and third can be divided by one and the same number...
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A Treatise on Algebra: Containing the Latest Improvements. Adapted to the ...

Charles William Hackley - Algebra - 1846 - 544 pages
...fraction may be multiplied by the same number, and, liy similar considerations, it will appear, may be divided by the same number without changing the value of the fraction. Corollary. — Rule. To multiply a fraction by a whole number, multiply the numerator of the fraction,...
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An Elementary Intellectual Arithmetic: Containing Numerous Origional ...

Daniel Leach, Robert Swan - Arithmetic - 1853 - 168 pages
...24 : 8. This is evident from the fact that the terms of a ratio are the terms of a fraction, which may be multiplied or divided by the same number, without changing the value of the fraction. Proportion is the union of two equal ratios. Fractions having the same denominator are to eack other...
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An Elementary Treatise on Algebra: To which are Added Exponential Ewquations ...

Benjamin Peirce - Algebra - 1855 - 308 pages
...2a6 + 62 Division of Polynomials. 4. Divide y3 I x5 — ! — 3 + 2 x* — y5 + + + 3^3 — 3 y3 i -y Terms of a fraction may be multiplied or divided by the same quantity. CHAPTER II. FRACTIONS AND PROPORTIONS. SECTION I. Reduction of Fractions. 54. When a quotient...
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Outlines of arithmetic

John Box (of London.) - 1861 - 136 pages
...10,000,000 3200 REDUCTION OP VULGAR FRACTIONS TO DECIMALS. 117. -Ex. Reduce ^ to a decimal fraction. Since both terms of a fraction may be multiplied or divided by the same number, without altering its value, we can multiply both terms of £ by 1000. lx iaifi = ^$$£. We may now divide both...
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The Model Elementary Arithmetic: Including Oral and Written Exercises

Alfred Kirk, Henry Holmes Belfield - Arithmetic - 1876 - 220 pages
...FRACTION is the QUOTIENT. Therefore, the principles of division apply to the terms of a fraction, and both terms of a fraction may be multiplied or divided...number, without changing the value of the fraction. One half may be changed to two fourths, or three sixths, or ten twentieths, by multiplying both terms...
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Methods in Written Arithmetic

John Williston Cook - Arithmetic - 1883 - 200 pages
...fractions are equally applicable to them;' that is, numerator and denominator may be multiplied and divided by the same number without changing the value of the fraction, and when proficiency has been acquired in reducing them by the ordinary method, let them try the following:...
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